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Write an equation that is parallel to y equals -4x + 5 and passes through the point -2, -1

Write an equation that is parallel to y equals -4x + 5 and passes through the point-example-1
User Luatic
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1 Answer

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Parallel lines have the same slope.

The given line:


y=-4x+5

has a slope of -4.

Then, a line parallel to it has also a slope of -4.

Slope (m): -4

Point: (-2,-1)

Equation in point slope form:


\begin{gathered} y-y_1=m(x-x_1) \\ \\ y-(-1)=-4(x-(-2)) \\ y+1=-4(x+2) \end{gathered}

Then, the equation of the line is:


y+1=-4(x+2)

User Drlue
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